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Finding the Fourth Proportional to 1,011.71, 1,523.97 and 950.22

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Solution

The fourth proportional to 1,011.71, 1,523.97 and 950.22 is: 1,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.71 : 1,523.97 = 950.22 : x
  2. Step 2: Convert to fraction form
    1,011.71/1,523.97 = 950.22/x
  3. Step 3: Cross multiply
    1,011.71x = 1,523.97 × 950.22
  4. Step 4: Simplify right side
    1,011.71x = 1,448,106.77
  5. Step 5: Solve for x
    x = 1,448,106.77/1,011.71
  6. Step 6: Final answer
    x = 1,431.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.